t) Stite the null and alternate hypothoses? 2) Identify Independent and dependen
ID: 3044953 • Letter: T
Question
t) Stite the null and alternate hypothoses? 2) Identify Independent and dependent varlables? 3) Do we need a post hoc analyais? Why or why not? Value LabelN Season Fall 2 Winter 3 Spring 4 Summer bescrptve Statdanica Dependent Varlable Colony forming units Mean Std. Deviation Fall Winter Spring 1081 25 231 458 209.00 1648.75 2138 50 1269.38 136.575 1071 244 906.429 978.454 Total 16 Tests of Between Subjects Effects Dependent Variabie: Colony forming units Type lll Sum of Partial Eta Sig.Squared 014 df Mean Square Corrected Model8236359.25 3 2745453 083 1 26781006.25 50.516 00 3 2745453.0835380014 12 510350,875 16 15 5.380 574 808 574 25781006 25 8236359 250 6124210.500 40141576.00 Corrected Total14360569 75 Error Total 487)Estimated MarginarMeans. R Squared 574 (Adjusted R Squared of Colony forming units 1001 FailExplanation / Answer
1)) Null hypothesis: H0: the average amount of fungal spores in the air is not differed in different time of year (Season).
Alternative hypothesis: H1: the average amount of fungal spores in the air is differed in different time of year (Season).
2)) Here, Fungal spores (colony forming units or CFUs) are the dependent variable whereas time of the year (season) is the independent variable.
3)) the ANOVA (Analysis of variance) test tells you whether you have an overall difference between your groups whereas post hoc tests find which specific groups differed. Firstly, you have to show that there is an overall statistically significant difference between group means. The, you can run the post hoc test. These tests also known as the posterior tests.
Here from the table, we can observe that ANOVA is statistically significant (0.014 for season). Now we can apply the post hoc test.
4)) Now, we calculate the effect size:
Effect size = (Treatment SS for season)/(Total SS) = (Between SS for season)/(Total SS)
= (8236359.250)/(14360589.75)
² = 0.5735
This is a large effect. Thus we can say that 57% of the change in the amount of fungal spores in the air is due to the seasons.
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